Noncommutative geometry and number theory : where arithmetic meets geometry and physics
In recent years, number theory and arithmetic geometry have been enriched by new techniques from noncommutative geometry, operator algebras, dynamical systems, and K-Theory. This volume collects and presents up-to-date research topics in arithmetic and noncommutative geometry and ideas from physics...
में बचाया:
| मुख्य लेखक: | |
|---|---|
| अन्य लेखक: | |
| स्वरूप: | Livre numérique |
| भाषा: | Anglais |
| प्रकाशित: |
Wiesbaden :
Vieweg+Teubner Verlag
2006.
Cham : Springer Nature |
| श्रृंखला: | Aspects of Mathematics
|
| विषय: | |
| ऑनलाइन पहुंच: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| टिप्पणी: |
Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Noncommutative Geometry and Number Theory, Texte imprimé, 9783834801708 • Noncommutative Geometry and Number Theory, Texte imprimé, 9783834826732 |
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| 084 | |a 11-XX. 2000 | ||
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| 100 | 1 | |a Consani, Caterina. | |
| 245 | 1 | 0 | |a Noncommutative geometry and number theory : |b where arithmetic meets geometry and physics |c Caterina Consani, Matilde Marcolli (eds.) ; a publication of the Max-Planck-Institute for Mathematics, Bonn. |
| 260 | |a Wiesbaden : |b Vieweg+Teubner Verlag. | ||
| 260 | |a Cham : |b Springer Nature, |c 2006. | ||
| 490 | 0 | |a Aspects of Mathematics | |
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 505 | 0 | |a The Hecke algebra of a reductive p-adic group: a geometric conjecture -- Hilbert modular forms and the Ramanujan conjecture -- Farey fractions and two-dimensional tori -- Transgressions of the Godbillon-Vey Class and Rademacher functions -- Archimedean cohomology revisited -- A twisted Burnside theorem for countable groups and Reidemeister numbers -- to Hopf-Cyclic Cohomology -- The non-abelian (or non-linear) method of Chabauty -- The residues of quantum field theory - numbers we should know -- Phase transitions with spontaneous symmetry breaking on Hecke C*-algebras from number fields -- On harmonic maps in noncommutative geometry -- Towards the fractional quantum Hall effect: a noncommutative geometry perspective -- Homological algebra for Schwartz algebras of reductive p-adic groups -- A non-commutative geometry approach to the representation theory of reductive p-adic groups: Homology of Hecke algebras, a survey and some new results -- Three examples of non-commutative boundaries of Shimura varieties -- Holomorphic bundles on 2-dimensional noncommutative toric orbifolds -- A New short proof of the local index formula of Atiyah-Singer. | |
| 506 | |a Accès en ligne pour les établissements français bénéficiaires des licences nationales | ||
| 506 | |a Accès soumis à abonnement pour tout autre établissement | ||
| 506 | |a Conditions particulières de réutilisation pour les bénéficiaires des licences nationales. https://www.licencesnationales.fr/springer-nature-ebooks-contrat-licence-ln-2017 | ||
| 520 | |a In recent years, number theory and arithmetic geometry have been enriched by new techniques from noncommutative geometry, operator algebras, dynamical systems, and K-Theory. This volume collects and presents up-to-date research topics in arithmetic and noncommutative geometry and ideas from physics that point to possible new connections between the fields of number theory, algebraic geometry and noncommutative geometry. The articles collected in this volume present new noncommutative geometry perspectives on classical topics of number theory and arithmetic such as modular forms, class field theory, the theory of reductive p-adic groups, Shimura varieties, the local Lfactors of arithmetic varieties. They also show how arithmetic appears naturally in noncommutative geometry and in physics, in the residues of Feynman graphs, in the properties of noncommutative tori, and in the quantum Hall effect | ||
| 650 | |a Géométrie différentielle non commutative | ||
| 650 | |a Nombres, Théorie des | ||
| 700 | 1 | |a Consani, Caterina. |4 pbd | |
| 700 | 1 | |a Marcolli, Matilde, |d 1969- |4 pbd | |
| 710 | 2 | |a Max-Planck-Institut für Mathematik. |4 orm | |
| 776 | 0 | |t Noncommutative Geometry and Number Theory |b Texte imprimé |z 9783834801708 | |
| 776 | 0 | |t Noncommutative Geometry and Number Theory |b Texte imprimé |z 9783834826732 | |
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| 856 | 4 | |u https://revue-sommaire.istex.fr/ark:/67375/8Q1-L4920D8L-R |z Accès sur la plateforme Istex | |
| 856 | 4 | |5 452349901:747894914 |u https://ezproxy.univ-orleans.fr/login?url=https://doi.org/10.1007/978-3-8348-0352-8 |z Accès Université d'Orléans | |
| 856 | 4 | |5 180339901:750907959 |u https://ezproxy.insa-cvl.fr/login?qurl=https://doi.org/10.1007/978-3-8348-0352-8 |z Accès INSA CVL | |
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